Factoring

Front

Define Factoring in Algebra

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a Quadratic Expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.

Front

What is the relationship between factoring and finding roots?

Back

Factoring a quadratic expression allows us to find its roots by setting each factor equal to zero.

Front

Factor the expression: a² - a - 12

Back

(a - 4)(a + 3)

Front

Factor the expression: x² - 15x + 36

Back

(x - 12)(x - 3)

Front

Factor the expression: n² + 16n + 63

Back

(n + 7)(n + 9)

Front

Factor the expression: x² + 7x + 12

Back

(x + 3)(x + 4)

Front

Factor the expression: x² - 8x - 128

Back

(x - 16)(x + 8)